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Paints and coatings often feature interfacial defects due to disturbances during the deposition process which, if they persist until solidification, worsen the product quality. In this article, we investigate the stability of a thin liquid…

Fluid Dynamics · Physics 2023-07-26 David Barreiro-Villaverde , Anne Gosset , Marcos Lema , Miguel Alfonso Mendez

Many applications of porous media research involves high pressures and, correspondingly, exchange of thermal energy between the fluid and the matrix. While the system is relatively well understood for the case of non-moving porous media,…

Fluid Dynamics · Physics 2021-07-12 François Gay-Balmaz , Vakhtang Putkaradze

Optomechanical manipulation of nanoparticles enabling ultimate control over their 3D motion is nowadays one of the most highly demanded links between optics, biology, medicine, microfluidics, etc., paving the way for a plethora of emerging…

Optics · Physics 2020-01-08 D. A. Dolinina , A. S. Shalin , A. V. Yulin

We study the dynamic behaviour of two viscous fluid films confined between two concentric cylinders rotating at a small relative velocity. It is assumed that the fluids are immiscible and that the volume of the outer fluid film is large…

Analysis of PDEs · Mathematics 2021-10-01 Christina Lienstromberg , Tania Pernas-Castaño , Juan J. L. Velázquez

We propose a two-dimensional flow model of a viscous fluid between two close moving surfaces. We show, using a formal asymptotic expansion of the solution, that its asymptotic behavior, when the distance between the two surfaces tends to…

Analysis of PDEs · Mathematics 2023-08-01 José M. Rodríguez , Raquel Taboada-Vázquez

Thin polymer films have striking dynamical properties that differ from their bulk counterparts. With the simple geometry of a stepped polymer film on a substrate, we probe mobility above and below the glass transition temperature…

We perform molecular dynamics simulations to understand the translational and rotational diffusion of Janus nanoparticles at the interface between two immiscible fluids. Considering spherical particles with different affinity to fluid…

Fluid Dynamics · Physics 2016-05-04 Hossein Rezvantalab , German Drazer , Shahab Shojaei-Zadeh

We examine the dynamics of a thin film formed by a distributed liquid source on a vertical solid wall. The model is derived using the lubrication approximation and includes the effects of gravity, upward airflow and surface tension. When…

Fluid Dynamics · Physics 2020-07-01 Yadong Ruan , Ali Nadim , Marina Chugunova

This paper deals with the condensation of liquid droplets on hydrophobic and hydrophilic surfaces. A stochastic mesoscale model based on the theory of fluctuating hydrodynamics and the thermodynamics of a diffuse interface approach shows…

Soft Condensed Matter · Physics 2025-06-30 Matteo Teodori , Dario Abbondanza , Mirko Gallo , Carlo Massimo Casciola

A multicomponent extension of our recent theory of simple fluids [ U.M.B. Marconi and S. Melchionna, Journal of Chemical Physics, 131, 014105 (2009) ] is proposed to describe miscible and immiscible liquid mixtures under inhomogeneous, non…

Statistical Mechanics · Physics 2011-02-11 Umberto Marini Bettolo Marconi , Simone Melchionna

The dynamics and stability of a thin gas layer moving between two fluid layers moving in the same or opposite direction is studied. The linear evolutionary equations describing the spatial-temporal dynamics of the interface perturbations…

Fluid Dynamics · Physics 2018-03-15 Ivan V. Kazachkov

Models that describe Newtonian liquid films evolving due to the competing effects of surface tension and attractive intermolecular or van der Waals forces are known to rupture in finite time in a self-similar manner. We extend the…

Soft Condensed Matter · Physics 2026-05-19 Michael C Dallaston , Steven A Kedda , Scott W McCue

The goal of this PhD thesis was to characterize the properties of friction in nanotubes and from a more general point of view the understanding of the microscopic origin of friction. Indeed, the relative simplicity of the system allows us…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. Servantie

Freezing of dispersions is omnipresent in science and technology. While the passing of a freezing front over a solid particle is reasonably understood, this is not so for soft particles. Here, using an oil-in-water emulsion as a model…

Fluid Dynamics · Physics 2023-05-29 Jochem G. Meijer , Pallav Kant , Duco Van Buuren , Detlef Lohse

A thin liquid film covered with an insoluble surfactant in the vicinity of a first-order phase transition is discussed. Within the lubrication approximation we derive two coupled equations to describe the height profile of the film and the…

Pattern Formation and Solitons · Physics 2009-07-15 M. H. Köpf , S. V. Gurevich , R. Friedrich

Free boundaries of biofilms advancing on surfaces evolve according to conservation laws coupled with systems of partial differential equations for velocities, pressures and chemicals affecting cell behavior. Thin film approximations lead to…

Analysis of PDEs · Mathematics 2024-03-18 Ana Carpio , Gema Duro

We investigate the dynamics of spreading of a small liquid droplet in gas in a one-component simple fluid, where the temperature is inhomogeneous around 0.9Tc and latent heat is released or generated at the interface upon evaporation or…

Soft Condensed Matter · Physics 2015-05-18 Ryohei Teshigawara , Akira Onuki

Wavy film flow of incompressible Newtonian fluid down an inclined plane is considered. The question is posed as to the parametric conditions under which the description of evolution can be approximately reduced for all time to a single…

patt-sol · Physics 2007-05-23 Alexander L. Frenkel , Keshavamurthy Indireshkumar

A mathematical model is developed to analyze the growth/decay rate of surface perturbations of an ultrathin metal film on an amorphous substrate (SiO_{2}). The formulation combines the approach of Mullins [J. Appl. Phys. v30, 77, 1959] for…

Materials Science · Physics 2015-06-25 Christopher Favazza , Ramki Kalyanaraman , Radhakrishna Sureshkumar

The shallow water equations describing the motion of thin liquid film on the rotating cylinder surface are obtained. These equations are the analog of the modified Boussinesq equations for shallow water and the Korteweg-de Vries equation.…

Fluid Dynamics · Physics 2013-03-12 M. Yu. Zhukov , A. M. Morad